Title: Minimal Model Program
Speaker: Yen-An
Chen, the University of Utah
Time: 03/04
(Sat.), 03:00 pm- 04:00 pm (Los Angeles, CA)
Place: TYRA website
Required thing for this talk: The desire to learn math
Abstract:
Minimal Model Program (MMP) is a classification theory for
algebraic geometric objects. Its goal is to find a birational model of any
(complex) projective varieties which is as "simple" as possible.
In the curves case, every curve is birational to a unique smooth
projective curve. And in the surfaces case, every surface is birational to a
smooth projective surface and we could find the minimal one for most of the
surfaces. But when the dimension goes up to three, it becomes complicated since
we cannot simply copy the way we treat surfaces.
In this talk, I will
explain the results of lower dimensional cases, what obstacles we encounter in
higher dimensional cases, and in what possible ways we could solve them.
